Birationally rigid Fano threefold hypersurfaces

DOI10.1090/memo/1167zbMath1383.14004arXiv1309.0903OpenAlexW3124776382MaRDI QIDQ5281636

Jihun Park, I. A. Chel'tsov

Publication date: 26 July 2017

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0903

zbMATH Keywords

birational involutionweighted projective spaceFano hypersurfacebirationally rigid

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) (3)-folds (14J30) Fano varieties (14J45) Hypersurfaces and algebraic geometry (14J70) Rationality questions in algebraic geometry (14E08)

Related Items

Birational self-maps of threefolds of (un)-bounded genus or gonality, Stable rationality of orbifold Fano 3-fold hypersurfaces, Birational Mori fiber structures of ℚ-Fano 3-fold weighted complete intersections, Sarkisov links for index 1 Fano 3‐folds in codimension 4, K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces, Weighted Fano varieties and infinitesimal Torelli problem, High-pliability Fano hypersurfaces, Completions of affine spaces into Mori fiber spaces with non‐rational fibers, Nonsolidity of uniruled varieties, Sarkisov links from toric weighted blowups of \(\mathbb{P}^4\) at a point, Birational Mori fiber structures of \(\mathbb{Q}\)-Fano 3-fold weighted complete intersections. III., On birational rigidity of singular del Pezzo fibrations of degree 1, Birational Mori fiber structures of \(\mathbb{Q}\)-Fano 3-fold weighted complete intersections. II, Alpha invariants of birationally bi-rigid Fano 3-folds I, Birational geometry of singular Fano hypersurfaces of index two, Mori dream spaces and birational rigidity of Fano 3-folds, Birational superrigidity is not a locally closed property, Birationally superrigid Fano 3-folds of codimension 4, Birationally Rigid Complete Intersections with a Singular Point of High Multiplicity, Super-rigid affine Fano varieties

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